lim [(5x + 7) Axxi a = 0,b= 4 k=1 Text by expressing it as a definite integral over the interval [a, b] and applying approp from geometry. Note:

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Q: Let f(x)=2x+9-19e^x. Find the equation of the tangent line to the graph of f(x) at the point (0,-10)

A: f(x)=2x+9−19ex at the point (0,−10)Using the power Ruleddxxn=nxn−1

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A: The length of the rectangle 2t+5height of the rectangle tArea of the rectangle=length∗height=(2t+5)t

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Q: 17. Find y = dy · if y = (In x)". (Hint: Use logarithmic differentiation.) dx

A: We do only frst part of multiple questions.(17) Given,

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A: The given function is .The aim is to find the interval of converges for .

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A: a) compounded semiannnually:   $17,443.36,b.  compounded quarterly :  $17,497.64,c. Compounded…

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A: given initial value problem

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A: To find .

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Q: determine the continuity of the function at a.

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Q: Find the derivative of the function. 2-3x - x² x2 f'(x) = f(x) = x²-5 2

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Q: DLC www.sumwestDLO 13. The graph of y=f(x) is given below: a) describe in words, the transformation…

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Q: Compute the derivative of f(x) = 5 tan(x) sec(x).

A: f(x)=5tan⁡(x)sec⁡(x)Product Ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

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Q: 2 lnt tyl + 5 lnt dt

A: The given integral

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A:

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Q: Compute the derivative of H(t) = 5 sin(t) sec² (t).

A: H(t)=5sin⁡(t)sec2⁡(t)Product Ruleddx[f(x)g(x)]=f(x)g′(x)+g(x)f′(x)

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A: Let f be a differentiable function such that .To find the approximation for  found by using the line…

Q: Consider the following. ₂ (t) = (30, ², ³), ₂(t) = (sin(t), sin(St), 4t) Find r(t) and r2(t). r'₂…

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Q: Answer parts A, B, C, and D please !!!!

A: a). $12,667.70 b). $12,689.86 c). $12,704.89 d). $12,712.49  Explanation:

Q: z = x³ + xy², x = uv³+wª, y=u+ve™ Find dz du when u = 1, v = 2, w=0

A: z=x3+xy4,x=uv3+w4,y=u+vewu=1,v=2,w=0x(1,2,0)=8+0=8y(1,2,0)=1+2e0=3z=x3+xy4Using the power…

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A: AssemblingWeightProfitx36$600y52$400At most 60At most 72

Q: -10 4,0 6,sqrt(28)) f(x)=√√√5x - 2 compute the instantaneous slope at: (6, √28) Start with two…

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Q: Find the reference angle for 0 radians - 19T 15

A: